Question

zad 2 / 206 mata 1 klasa gim .

/ - kreska ułamkowa

a. 2/x = 3/x-1

b. 4/x+1m= 5/x

c. 3/5 = 2x - 1 / 2 - 5x

d. 2x + 1 / 1 - 2x = 2/3

e. 0,4x - 1 / 3 = 2x - 5 / 2

f. 4 + x2 / x = 2x - 1 / 2

Answer 1

a

2/x=3/x-1

2-3+1*x=0

-1+x=0

x=1

b

4/x+1m=5/x

4/x+(1m*x)-5/x=0

4+mx-5=0

-1+mx=0

mx=1

c

 

3/5=2x-1/2-5x

3/5-2x+1/2+5x=0

3*2-2x(3+2)+1*3+5x(3+2)=0

6-6x-4x+3+15x+10x=0

15x+3=0

15x=-3/15

x=-3/15

 

d

2x+1/1-2x=2/3

2x+1/1-2x-2/3=0

2x(1-2x-3)+1*3-2(1-2x)=0

2x-4x2-6x+3-2+4x=0

-4x2+!=0

-4x2=-1/*(-1)

4x2=1/:4

x2=1/4

x=1/2

 

e

 

0,4x-1/3=2x-5/2

0.4x-1/3-2x+5/2=0

0.4x(3+2)-1*2-2x(3+2)+5*3=0

1,2x+0,8x-2-6x-4x+15=0

-8x+13=0

-8x=-13/;(-8)

x=13/8

 

f

 

4+x2/x=2x-1/2

4+x2/x-2x+1/2=0

4(x+2)+x2*2-2x(x+2)+1*x=0

4x+8+2x2-2x2-4x+x=0

x=-8